Pedro measured a swimming pool and made a scale drawing. The pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. What scale did Pedro use for the drawing?
Answer:
The scale that Pedro used for the drawing is: 17:600.
Step-by-step explanation:
A scale of a drawing is expressed as: Drawing length:actual length.
Since you know that the pool is 119 centimeters long in the drawing and 42 meters long in real life, first you have to find the cm in 42 meter taking into account that 1 meter is equal to 100 cm:
1 m → 100 cm
42 m → x
x=(42*100)/1
x=4200 cm
Now, the scale would be:
119:4200
Finally, you need to simplify and you can do it by dividing each number by 7:
17:600
According to this, the answer is that the scale that Pedro used for the drawing is: 17:600.
the area is ___ square units
Answer:
392 square units
Step-by-step explanation:
We can make 2 right trapezoids out of this shape.
The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.
If we do 1 half it would be 1/2×(14+14)×14 = 196
Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.
Y= -16x^2+181x+59 is the question
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
Find the measure of the indicated arc
Answer:
m[tex]\widehat{WXY}[/tex] is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m[tex]\widehat{WXY}[/tex]
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°
m[tex]\widehat{WXY}[/tex] = 224°.
A new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.
Which equation shows this relationship?
A. 3y = x
B. y = x + 3
C. y = 3x
D. y + 3 = x
PLEASE HELP I'LL GIVE YOU 15 POINTS
Answer:
C. y=3xStep-by-step explanation:
I got it correct on my assignment.
215% of what number is 43
Answer:
20
Step-by-step explanation:
215% of 20 is 43
Answer:
20
Step-by-step explanation:
2.15x = 43
43 divided by 2.15 is 20! :)
which situation can be represented by 17.35x > 624.60?
Answer:
IF this is a choice, it is correct:
Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
Find the angle measure that corresponds to 20% of a circle.
Answer: 72 degrees
Step-by-step explanation:
A circle is 360 degrees. So, 20% of 360 is 72 degrees
360 x 0.20 = 72
The compact disc format has been declining in popularity, and one music executive has predicted that CD sales will decrease by 20% per year. If the executive's company sold 29,000,000 CDs this year, how many will the company sell 9 years from now?
Answer: 3,892,314 CDs
Step-by-step explanation:
You can find this using the future value formula:
Future value = Amount * ( 1 + rate) ^ number of years
Amount = 29,000,000
Rate = -20% because it is decreasing
Number of years = 9
CDs sold in 9 years will therefore be:
= 29,000,000 * ( 1 - 20%) ⁹
= 3,892,314 CDs
20.
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=-6+(n-1)([tex]\frac{1}{5}[/tex])
A. –6, [tex]-5\frac{2}{5}[/tex], [tex]-4\frac{1}{5}[/tex]
B. 0, [tex]\frac{3}{5}[/tex], 1[tex]\frac{4}{5}[/tex]
C. –6, -5[tex]\frac{1}{5}[/tex], -4
D. 5, -5[tex]\frac{1}{5}[/tex], 1[tex]\frac{4}{5}[/tex]
Answer:
A. –6, ,
Step-by-step explanation:
answer is D. -6, -5 2/5, -4 1/5
A(1)=-6+(1-1)(1/5) = -6 + 0 = -6
A(4)=-6+(4-1)(1/5) = -6 + 3/5 = - 5 2/5
A(10)=-6+(10-1)(1/5) = -6 + 9/5 = -4 1/5
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find the GCF of 30x^3 and 12x^4
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
Teru burned about 1,000 calories downhill skiing before lunch. If she plans to ski
for a total of 5 hours today, how many hours will she ski after lunch?
Answer:
3.3333 hours
Step-by-step explanation:
From the attached table :
Downhill skiing for 1/6 hours ; results in 100 calories burn
To burn 1000 calories :
Skiing hours required :
(1000 / 100) * (1/6)
10 * 1/6 = 10 /6 hours
Planned skiing hours = 5
Number of skiing hours after lunch will be :
5 hours - 10/6 hours
5 hours - 1.6666 hours
= 3.3333 hours
Need help with this question
Answer: Well you would have to look at the options in the drop down and then find the terms and others
Step-by-step explanation:
PLEASE HELP NOW 20 POINTS!
Use the formula to find the volume of the prism.
A. 12 1/2 cubic units
B. 6 1/4 cubic units
C. 7 cubic units
D. 4 1/2 cubic units
Answer:
The Answer is A. 12 1/2
Step-by-step explanation:
2 x 2 1/2 = 5
5 x 2 1/2 = 12.5
(っ◔◡◔)っ ♥ Hope It Helps ♥
What’s the algebraic expression of this expression? Only answer if you know
Answer:
a³ + 5c
Step-by-step explanation:
That would be, symbolically, a³ + 5c
Is 9, 16, 23, 30, an arthmetic sequence
Answer:
Yes
Step-by-step explanation:
26. Find the Rate when given the Interest.
Interest: $480
Principal: $1600
Time: 6 years *
(1 Point)
5%
0.05%
20%
2.0%
Don’t need to show work
Answer:
44
Step-by-step explanation:
Carly brought chocolate and vanilla cupcakes to school for her birthday. 42 students picked a vanilla cupcake and 14 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?
Write your answer using a percent sign (%).
Answer:
75%
Step-by-step explanation:
42 out of 56 is 0.75 which is 75%
John worked 43 hours last week; his hourly rate is $9. He has the following deductions taken from his pay: Social Security tax of $25, Medicare tax of $6, health insurance premiums of $15, and savings account contribution of $50. What is John’s net pay?
What is the least common denominator for 1/6 and 3/8
Answer:
24
Step-by-step explanation:
bc if you were to find what the fractions were before they were simplified, it would be 4/24 (for 1/6) and 9/24 (for 3/8)
The least common denominator for 1/6 and 3/8 is 24.
What is the least common denominator?When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.
Given, two fraction numbers 1/6 and 3/8
We need to find the least common denominator of them. for that,
We will take the LCM of the denominator of both factors.
LCM of 6 and 8 = 24
Therefore, for fractions 1/6 and 3/8, 24 is the least common denominator.
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HELP HELP HELP!! I’ll mark brainliest!! If a combination is randomly chosen, what is the probability of someone getting a salad and a chicken sandwich?
Answer:
1/12
Step-by-step explanation:
because because you have one choice out of 12 choices and that gives you 112
identify the type of proportion and solve the problem. rose bought 8 bags at 880. if rit buys 12 of such kind of bags, how much will she pay?
Answer:
1320
Step-by-step explanation:
880/8 = 110
12x110 = 1320
Answer:
1,320
Step-by-step explanation:
880/8= $110
$110×12= 1,320
A gray crayon is made with 5mL of black wax for every 6 mL of white wax
Answer:
the answer is option B and option C
Step-by-step explanation:
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
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HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!
Answer:
x≈5.3 feet
Step-by-step explanation:
[tex]\frac{4}{15} =\frac{x}{20}[/tex]
[tex]15x=80[/tex]
x≈5.3 feet
Answer:
5.3m tall
Step-by-step explanation:
15/4 = 3.75
20/3.75= 5.3333333
The circumference of a circle is 69.08 millimeters. What is the circle's diameter? Use 3.14 for .
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11
An angle measures 67.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
11.2 and 78.8
Step-by-step explanation:
x + x + 67.6 = 90
2x = 22.4
x= 11.2 (first angle)
11.2 + 67.6 = 78.8 (second angle)
20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)
Answer:
I'll do the dilation for the first point and you will see the answer (please verify the second point)
Step-by-step explanation:
The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.
so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.
so the dilated point for (-4,-4) is (-14, -14)
Please verify by computing the dilated point for (-6,4)
Which of the following is the graph of f(x) = 3x - 4[ + 1?
Answer:
The first answer choice I think
Step-by-step explanation:
to the right 4 units
up one
vertical compression by 3